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GIVEN, 5c = 30 a + 6 b, DIVIDE by 5 to get

c = 6 a + 1.2 b

c = (a + b) + (5a +0.2b)

c > a + b

a and b are always positive. It means that c > a+b that means it is not a triangle. If c < a+b then it can be a triangle. In a triangle sum of two sides is always greater than the third.

A triangle is not possible with the above relation among the sides.

c = 6 a + 1.2 b

c = (a + b) + (5a +0.2b)

c > a + b

a and b are always positive. It means that c > a+b that means it is not a triangle. If c < a+b then it can be a triangle. In a triangle sum of two sides is always greater than the third.

A triangle is not possible with the above relation among the sides.

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

**30a + 6b = 5c**

First of all, note that

**5 * 6 = 30**, so what we can assume is,

**a = x**

**b = 5y**

Then,

5c = 30x + 30y

c = 6(x + y)

**c = 6x + 6y**

for x, y > 0

Now check the triangular inequality,

**(1) a + b > c**, this gives

**5x + y < 0**

**(2) a + c > b**, this gives

**7x + y > 0**

**(3) b + c > a**, this gives

**5x + 11y > 0**

Now

**inequality (1)**has

**no solution**for

**x, y > 0**

Thus,

**NO Triangle Possible**...